Question

Which equation matches the graph y=-1x+3 , y=1x, y1x+3, y=-1x can you guys tell me which equation matches the graph with explanation

Answer 1

y = 1.x + 3

Explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

m =
`(y_2-y_1)/(x_2-x_1)`

Since, y-intercept and x-intercepts are equal,

Let the given line passes through (0, 3) and (-3, 0),

Slope of the line (m) =
`(3-0)/(0+3)` = 1

y-intercept of the line 'b' = 3

Equation of the line will be,

y = 1.x + 3